Hölder estimates on lineally convex domains of finite type

DOI10.1307/mmj/1156345598zbMath1120.32003OpenAlexW2093282534MaRDI QIDQ874433

Bert Fischer, Klas Diederich

Publication date: 5 April 2007

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1156345598

zbMATH Keywords

holomorphic functionHölder estimatelineally convex domain of finite type

Mathematics Subject Classification ID

Integral representations, constructed kernels (e.g., Cauchy, Fantappiè-type kernels) (32A26) (overlinepartial) and (overlinepartial)-Neumann operators (32W05)

Related Items

Supnorm and \(f\)-Hölder estimates for \(\overline\partial\) on convex domains of general type in \(\mathbb C^2\) ⋮ Estimates for solutions of the \(\bar\partial\)-equation and application to the characterization of the zero varieties of the functions of the Nevanlinna class for lineally convex domains of finite type ⋮ Weighted and boundary \(L^{p}\) estimates for solutions of the \(\overline{\partial}\)-equation on lineally convex domains of finite type and applications ⋮ On different extremal bases for ℂ-convex domains ⋮ Hölder and \(L^p\) estimates for the \({\bar{\partial }}\)-equation in a class of convex domains of infinite type in \({\mathbb{C}}^n\) ⋮ Extremal bases, geometrically separated domains and applications

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